Mayer-Vietoris sequences in homotopy of 2-complexes and in homology of groups

DOI10.1016/0022-4049(92)90030-JzbMath0761.55016MaRDI QIDQ1184022

Mauricio A. Gutiérrez, William A. Bogley

Publication date: 28 June 1992

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

crossed modulesMayer-Vietoris sequencerelative homotopy groupsgeneralized Hopf formula

Mathematics Subject Classification ID

Homological methods in group theory (20J05) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Abstract complexes in algebraic topology (55U05)

Related Items (11)

ON A MAYER-VIETORIS SEQUENCE IN THE COHOMOLOGY OF GROUPS ⋮ Unions of Cockcroft two-complexes ⋮ A Mayer-Vietoris sequence in group homology and the decomposition of relation modules ⋮ Threshold subgroups for cockcroft 2-complexes ⋮ INTERSECTION OF SUBGROUPS IN FREE GROUPS AND HOMOTOPY GROUPS ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ Identities between sets of relations ⋮ Limits over categories of extensions. ⋮ \(N\)-fold Čech derived functors and generalised Hopf type formulas ⋮ On independent families of normal subgroups in free groups ⋮ Question de Whitehead et modules précroisés

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• Hopf Formulae for the Higher Homology of a Group
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• On the Connection between the Second Relative Homotopy Groups of Some Related Spaces

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